• Amal Augustine
• November 25, 2025

Unlocking Dimension Mastery in CUET Physics: Advanced Units, Dimensional Formulae & Gravitational Concepts (Complete Guide + MCQs)

For CUET aspirants, Units and Dimensions is one of the highest-yield chapters because it tests conceptual clarity, formula manipulation, and the ability to link physical quantities to their dimensional structures. Students preparing for CUET often search for CUET Units and Measurements MCQs with answer key, CUET Physics dimensional analysis tricky questions, dimensions of physical constants CUET, gravitational intensity vs potential CUET, Units and Dimensions CUET theory summary, and CUET Units and Measurements quick revision notes.

This guide brings together all essential dimensional concepts, gravitational relations, and high-quality MCQs tailored to CUET Physics. It also integrates keywords commonly searched by CUET students, such as work energy torque dimensions, surface tension vs stress CUET, advanced dimensional analysis CUET, and more.

Below is a structured, exam-oriented article covering the most important concepts along with curated, solved MCQs.

Understanding Dimensional Analysis for CUET Physics

Dimensional analysis is a powerful tool used to:

• Verify the correctness of physical equations

• Derive relationships between physical quantities

• Compare units

• Understand the nature of physical constants

CUET frequently tests topics like gravitational constant, torque, angular momentum, viscosity, inductance, permeability, and potential energy. Many students search for CUET Physics Units and Dimensions formula list, and this blog provides those concepts through high-yield MCQs.

CUET-Level MCQs: Gravitational Quantities & Dimensions

1. Match List-I with List-II

List I
(a) Gravitational constant
(b) Gravitational potential energy
(c) Gravitational potential
(d) Gravitational intensity

List II
(i) [L²T⁻²]
(ii) [M⁻¹L³T⁻²]
(iii) [LT⁻¹]
(iv) [ML⁻¹T⁻²]

Correct match:
(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

Answer: d

CUET MCQs: Identical Dimensions, Force Laws & Viscosity

2. Pair with Same Dimensions

a) Force & torque
b) Work & energy
c) Force & impulse
d) Linear & angular momentum
Answer: b

3. Dimensions of η (viscosity) in F = 6πηrv

a) ML⁻3
b) MLT⁻2
c) ML⁻1
d) ML⁻1T⁻1
Answer: d

4. Which quantity has dimension of time?

a) LC
b) R/L
c) L/R
d) C/L
Answer: c

5. Dimensional formula of torque

a) ML²T⁻²
b) MLT⁻²
c) ML⁻1T⁻2
d) ML⁻²T⁻2
Answer: a

6. Dimensional constant

a) Relative density
b) Poisson’s ratio
c) Refractive index
d) Gravitational constant
Answer: d

7. If F = X / linear density, dimensions of X

a) M²L⁰T⁻2
b) M⁰L⁰T⁻1
c) L²T⁻2
d) M⁰L²T⁻2
Answer: a

8. Dimensions of force

a) M²L¹T⁻¹
b) M¹L¹T⁻²
c) M²L⁻¹T⁻²
d) M¹L¹T⁻¹
Answer: b

CUET MCQs: Angular Momentum, Resistance–Capacitance & Dimensionless Quantities

9. Common dimensional quantities in torque & angular momentum

a) Mass, time
b) Time, length
c) Mass, length
d) Time, mole
Answer: c

10. Dimension of (Resistance × Capacitance)

a) Frequency
b) Energy
c) Time period
d) Current
Answer: c

11. Dimensionless quantity

a) Angular velocity
b) Momentum
c) Angular momentum
d) Strain
Answer: d

12. Pair NOT having same dimensions

a) Acceleration & gravitational field strength
b) Torque & angular momentum
c) Pressure & modulus of elasticity
d) All of these
Answer: b

13. L/R has dimensions of

a) Velocity
b) Acceleration
c) Time
d) Force
Answer: c

14. Pair with same dimension

a) Pressure & density
b) Impulse & momentum
c) Stress & strain
d) Momentum & inertia
Answer: a

CUET MCQs: Magnetic Induction, Field, Kinematic Viscosity & ε₀

15. M/BQ has dimension of

a) Frequency
b) 1/Frequency
c) Velocity
d) Acceleration
Answer: b

16. Bernoulli constant dimension

a) Dimensionless
b) ML⁰T⁰
c) ML²T⁻²
d) ML²T⁻4
Answer: c

17. Dimension of β in 1/pβ = y/kBT

a) M⁻¹L¹T²
b) M⁰L²T⁰
c) ML⁻1T⁻2
d) Dimensionless
Answer: b

18. Match the following (Mass, Length, Time using E,F,P)

Correct: a-e, b-f, c-d
Answer: c

19. Dimensions of b/a in P = x² – b/at

a) Power
b) Surface tension
c) Torsional constant
d) Force
Answer: c

20. Magnetic induction formula dimension

a) MT⁻1A⁻1
b) M⁰T²A⁻1
c) ML²T⁻1
d) ML⁻1T⁻1
Answer: b

21. Kinematic viscosity dimension

a) M⁰L⁻1T⁻1
b) M⁰L²T⁻1
c) ML²T⁻1
d) ML⁻1T⁻1
Answer: b

22. Dimensional formula of ε₀

Correct: M⁻1L⁻3T⁴A²
Answer: b

23. Dimension of magnetic field

a) MLT⁻1C⁻1
b) MT²C⁻2
c) MT⁻1C⁻1
d) MT²C⁻1
Answer: c

CUET MCQs: Identical Dimensions, μ₀ε₀ & Nuclear Radius

24. Pair NOT identical in dimensions

a) Angular momentum & Planck’s constant
b) Impulse & momentum
c) Moment of inertia & moment of force
d) Work & torque
Answer: c

25. Dimension of 1/μ₀ε₀

a) L²T⁻2
b) LT⁻1
c) L²T²
d) LT²
Answer: a

26. Impossible combination

a) PQ/R
b) R/PQ
c) Q²/PR
d) PQ/R + Q
Answer: d

27. G, h, c are

a) Dimensional variables
b) Dimensionless variables
c) Non-dimensional constants
d) Dimensional constants
Answer: d

28. Magnetic induction field dimension equals

a) Force
b) Force constant
c) Surface tension/current
d) Force constant × current
Answer: d

29. R = R₀A¹/³ → Dimension of R₀

a) MLT⁻2
b) M⁰LT⁰
c) M⁰LT⁻1
d) None
Answer: b

Conclusion

This CUET-oriented blog post delivers a complete set of high-yield dimensional analysis questions, aligned with real exam patterns. By integrating frequently searched CUET keywords like Units and Dimensions CUET theory summary, advanced Units and Measurements dimensional reasoning CUET, gravity dimension questions CUET, and CUET Physics Units and Measurements MCQs, this post is perfect for both exam readiness and SEO optimization for your education website.